210y+11025-3y^2=0

Solution for 210y+11025-3y^2=0 equation:

Simplifying
210y + 11025 + -3y2 = 0

Reorder the terms:
11025 + 210y + -3y2 = 0

Solving
11025 + 210y + -3y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '3'.
3(3675 + 70y + -1y2) = 0

Factor a trinomial.
3((105 + -1y)(35 + y)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(105 + -1y)' equal to zero and attempt to solve:

Simplifying
105 + -1y = 0

Solving
105 + -1y = 0

Move all terms containing y to the left, all other terms to the right.

Add '-105' to each side of the equation.
105 + -105 + -1y = 0 + -105

Combine like terms: 105 + -105 = 0
0 + -1y = 0 + -105
-1y = 0 + -105

Combine like terms: 0 + -105 = -105
-1y = -105

Divide each side by '-1'.
y = 105

Simplifying
y = 105
Subproblem 2
Set the factor '(35 + y)' equal to zero and attempt to solve:

Simplifying
35 + y = 0

Solving
35 + y = 0

Move all terms containing y to the left, all other terms to the right.

Add '-35' to each side of the equation.
35 + -35 + y = 0 + -35

Combine like terms: 35 + -35 = 0
0 + y = 0 + -35
y = 0 + -35

Combine like terms: 0 + -35 = -35
y = -35

Simplifying
y = -35
Solution
y = {105, -35}